In a medium bowl, cream together the butter, white sugar and brown sugar until smooth. Stir in the peanut butter, vanilla and egg until well blended. Combine the flour, baking soda and salt; stir into the batter just until moistened. Mix in the oats and chocolate chips until evenly distributed. Drop by tablespoonfuls on to lightly greased cookie sheets.
Bake for 10 to 12 minutes in the preheated oven, until the edges start to brown. Cool on cookie sheets for about 5 minutes before transferring to wire racks to cool completely.
